A student sits on a freely rotating stool holding two dumbbells, each of mass 2.91 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 1.02 m from the axis of rotation and the student rotates with an angular speed of 0.741 rad/s. The moment of inertia of the student plus stool is 2.67 kg m2 and is assumed to be constant. The student pulls the dumbbells inward horizontailly to a position 0.302 m from the rotation axis (Figure b). (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Kbefore = Kafter =